368 citations · 1.3k across the 37 of their papers we have counts for
39 papers
Enabling First-Order Gradient-Based Learning for Equilibrium Computation in Markets
Nils Kohring, Fabian R. Pieroth, Martin Bichler
Understanding and analyzing markets is crucial, yet analytical equilibrium solutions remain largely infeasible. Recent breakthroughs in equilibrium computation rely on zeroth-order…
-Rank-Collections: Analyzing Expected Strategic Behavior with Uncertain Utilities
Fabian R. Pieroth, Martin Bichler
Game theory relies heavily on the availability of cardinal utility functions, but in fields such as matching markets, only ordinal preferences are typically elicited. The literatur…
Pricing Optimal Outcomes in Coupled and Non-Convex Markets: Theory and Applications to Electricity Markets
Mete Şeref Ahunbay, Martin Bichler, Johannes Knörr
According to the fundamental theorems of welfare economics, any competitive equilibrium is Pareto efficient. Unfortunately, competitive equilibrium prices only exist under strong a…
Computing Bayes Nash Equilibrium Strategies in Auction Games via Simultaneous Online Dual Averaging
Martin Bichler, Maximilian Fichtl, Matthias Oberlechner
Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theo…
Assignment Markets with Budget Constraints
Eleni Batziou, Martin Bichler, Maximilian Fichtl
This paper studies markets where a set of indivisible items is sold to bidders with quasilinear, unit-demand valuations, subject to a hard budget constraint. Without financial cons…
Equilibrium Learning in Combinatorial Auctions: Computing Approximate Bayesian Nash Equilibria via Pseudogradient Dynamics
Stefan Heidekrüger, Paul Sutterer, Nils Kohring +2
Applications of combinatorial auctions (CA) as market mechanisms are prevalent in practice, yet their Bayesian Nash equilibria (BNE) remain poorly understood. Analytical solutions…